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Finding the Third Proportional to 271,349.25 and 398,894.25

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Solution

The third proportional to 271,349.25 and 398,894.25 is: 586,390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,349.25 : 398,894.25 = 398,894.25 : x
  2. Step 2: Convert to fraction form
    271,349.25/398,894.25 = 398,894.25/x
  3. Step 3: Cross multiply
    271,349.25x = 398,894.25 × 398,894.25
  4. Step 4: Simplify right side
    271,349.25x = 159,116,622,683.06
  5. Step 5: Solve for x
    x = 159,116,622,683.06/271,349.25
  6. Step 6: Final answer
    x = 586,390.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.